CMES-Vol. 94, No. 3, 2013

Open Access

ARTICLE

Simulation of Three-dimensional Complex Flows in Injection Molding Using Immersed Boundary Method
Qiang Li¹
CMES-Computer Modeling in Engineering & Sciences, Vol.94, No.3, pp. 207-224, 2013, DOI:10.32604/cmes.2013.094.207
Abstract In this paper, an immersed boundary method (IBM) has been developed to simulate three-dimensional (3D) complex flows in the injection molding process, in which the irregular boundary of mould is treated by a level set function. The melt front (melt-air interface) is captured and treated using the coupled level set and volume of fluid (CLSVOF) method. The finite volume method on the nonstaggered meshes is implemented to solve the governing equations, and the melt filling process is simulated in a rectangular mould with both thick- and thin-wall sections. The numerical result shows good agreement with More >

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ARTICLE

A Wavelet Method for Solving Nonlinear Time-Dependent Partial Differential Equations
Xiaojing Liu¹, Jizeng Wang^1,2, Youhe Zhou^1,2
CMES-Computer Modeling in Engineering & Sciences, Vol.94, No.3, pp. 225-238, 2013, DOI:10.32604/cmes.2013.094.225
Abstract A wavelet method is proposed for solving a class of nonlinear timedependent partial differential equations. Following this method, the nonlinear equations are first transformed into a system of ordinary differential equations by using the modified wavelet Galerkin method recently developed by the authors. Then, the classical fourth-order explicit Runge-Kutta method is employed to solve the resulting system of ordinary differential equations. To justify the present method, the coupled viscous Burgers’ equations are solved as examples, results demonstrate that the proposed wavelet algorithm have a much better accuracy and efficiency than many existing numerical methods, and More >

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On Macroscopic Behaviors of Shape Memory Alloy Thick-walled Cylinder Under Combined Internal Pressure and Radial Temperature Gradient
Bingfei Liu¹, Guansuo Dui^2,3, Lijun Xue², Benming Xie¹
CMES-Computer Modeling in Engineering & Sciences, Vol.94, No.3, pp. 239-260, 2013, DOI:10.32604/cmes.2013.094.239
Abstract Analytical solutions are derived for the macroscopic behaviors of a Shape Memory Alloy (SMA) thick-walled cylinder subjected to internal pressure and radial temperature gradient. The Tresca transformation criterion and linear hardening are used. Equations are given for the radial and circumferential stresses, transformation strains and martensite volume fractions at both the elastic step and the transformation step. Numerical results are presented and in good agreement with the finite element simulations. More >

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Numerical Simulation of 2-D Transversal SeismicWaves by Network Method
J.L. Morales¹, I. Alhama¹, M. Alcaraz¹, F. Alhama
CMES-Computer Modeling in Engineering & Sciences, Vol.94, No.3, pp. 261-277, 2013, DOI:10.32604/cmes.2013.094.261
Abstract In this paper, the propagation of 2-D, transversal elastic waves is simulated by using the network method. The spatially discretized wave equation is the basis for designing the model of the volume element which contains as many components as addends in the governing equation. The whole network model, including the boundary conditions, is run in a suitable circuit simulation code such as PSpice with a relatively small computational time. The rules for the design are very few since there is a special component in the libraries of such codes, named controlled source, that is capable More >

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